Sushi Fraction Sums

Overview

Students build on their understanding of equal parts and fractions by modelling, reading and recording fractions with the same denominator. Using a sushi-roll context, they add sevenths within one whole and connect fraction notation to the idea that seven sevenths is equal to one. The lesson also briefly links tenths to decimal notation.

Learning intentions

• WALT identify and name equal pieces of a whole.
• WALT add fractions with the same denominator within one whole.
• WALT read and write fractions, including sevenths and tenths.
• WALT connect tenths with decimal notation.

Success criteria

• I can explain the numerator and denominator.
• I can use a model to add fractions with the same denominator.
• I can record a fraction sum correctly.
• I can explain why seven sevenths is equal to one whole.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that deepen understanding.
• Mathematics and Statistics — Mathsteasers / Alignment: challenge connected to classroom mathematics learning.
• Mathematics and Statistics — Mathsteasers: additional challenge and reasoning for advanced learners.
• Number: fractions, decimals, equal parts, and additive thinking within one whole.

Lesson structure (30 minutes)

1. 0–4 min · Hook: sushi sharing. Open the sushi sharing hook and show a sushi roll divided into seven equal pieces; ask, “How much of the sushi roll did the two friends take altogether?” Students make a quiet estimate, then explain what information they would need before calculating.

2. 4–9 min · Build the language. Use the fraction circles cut-out pack or a drawn seventh-part model to discuss equal pieces, numerator and denominator. Teacher models that the denominator tells how many equal pieces make the whole and the numerator tells how many pieces are being counted; students identify the numerator and denominator in examples such as (3/7). Rehearse the words sevenths, numerator, denominator, equal pieces, sum, and equal to.

3. 9–15 min · Model addition. Display the sushi problem in the worked-example slides. Teacher models a situation such as (3/7 + 2/7), first combining five seventh pieces and then recording (3/7 + 2/7 = 5/7). Emphasise that the denominator stays the same because the pieces are still sevenths. Students use the sentence starters aloud: “Three sevenths add two sevenths equals five sevenths” and “The sum of three sevenths and two sevenths is five sevenths.”

4. 15–23 min · Guided pair practice. Distribute the fraction addition practice sheet to pairs. Students solve the sushi-roll questions by drawing or using pieces first, then write the matching equation. Include examples that total one whole, such as (4/7 + 3/7 = 7/7), and ask students to complete: “___ sevenths and ___ sevenths make one” and “___ sevenths and ___ sevenths are equal to one.” Teacher circulates, checking that students do not add the denominators.

5. 23–27 min · Tenths and decimals connection. Use the tenths connection slides to show a whole divided into ten equal pieces. Teacher connects one tenth to 0.1 and seven tenths to 0.7, while making clear that this is a related representation rather than the main seventh-addition problem. Students read and write two tenths, five tenths and ten tenths as fractions and decimals, using the model shown.

6. 27–30 min · Share and exit check. Invite two pairs to explain different models or strategies using the discussion and plenary slide. Students complete the final question on the reflection and exit question: (5/7 + 2/7 =) ___, with a drawing and one sentence explaining why the answer is equal to one whole.

Resources

• the fraction addition and tenths slide deck
• the fraction addition practice sheet
• the fraction circles cut-out pack
• Board and markers
• Pencils and coloured pencils
• Prepared sushi-roll diagrams or paper strips
• Optional counters for modelling equal pieces

Assessment

• Listen for accurate use of numerator, denominator, sevenths and equal to during modelling and partner talk.
• Check whether students represent addition by combining equal pieces and keep the denominator unchanged.
• Use the exit question to identify students who can add within one whole and explain why (7/7 = 1).

Differentiation

• Support students by providing pre-drawn seventh models, allowing them to use the fraction circles, and keeping the sentence starters visible. Prompt: “How many equal pieces are in the whole? How many are being counted?”
• For students needing language support, pair visual models with gestures and repeated oral rehearsal. Provide a small word bank with numerator, denominator, equal pieces, sum and equal to.
• Students who find the work secure can create a new sushi-sharing problem with two fractions that total one whole, then prove the answer using a diagram and an equation.
• Challenge advanced learners to find more than one pair of sevenths that makes one whole and explain the pattern. They may also compare (7/7) with (10/10) and explain why both represent one whole.